List the eigenvalues of A. The transformation x→Ax is the composition of a rotation and a scaling. Give the angle op of the rotation, where -
List the eigenvalues of A. The transformation x→Ax is the composition of a rotation and a scaling. Give the angle op of the rotation, where -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![List the eigenvalues of A. The transformation x→Ax is the composition of a rotation and a scaling. Give the angle of the rotation, where - <≤, and give the scale factor r.
A =
3√3
r=
- 3
3 3√3
The eigenvalues of A are >=
(Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.)
Q=
(Simplify your answer. Type an exact answer, using as needed.)
(Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe763e4e-f795-40b2-8fd9-57a3e5a9095e%2Fd6187730-0c50-49bc-befa-24aa05c59026%2Fpliltoj_processed.png&w=3840&q=75)
Transcribed Image Text:List the eigenvalues of A. The transformation x→Ax is the composition of a rotation and a scaling. Give the angle of the rotation, where - <≤, and give the scale factor r.
A =
3√3
r=
- 3
3 3√3
The eigenvalues of A are >=
(Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.)
Q=
(Simplify your answer. Type an exact answer, using as needed.)
(Simplify your answer.)
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